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153043128 = 23337127797
BaseRepresentation
bin10010001111101…
…00000010111000
3101122222101201000
421013310002320
5303134340003
623104125000
73535562610
oct1107640270
9348871630
10153043128
1179430627
1243306760
1325926084
141647ba40
15d6811a3
hex91f40b8

153043128 has 128 divisors (see below), whose sum is σ = 490291200. Its totient is φ = 43327872.

The previous prime is 153043123. The next prime is 153043141. The reversal of 153043128 is 821340351.

It is a happy number.

153043128 is a `hidden beast` number, since 1 + 530 + 4 + 3 + 128 = 666.

153043128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153043123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191626 + ... + 192422.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2153043128 is an apocalyptic number.

153043128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153043128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

153043128 is an abundant number, since it is smaller than the sum of its proper divisors (337248072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153043128 is a wasteful number, since it uses less digits than its factorization.

153043128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153043128 is about 12371.0601000884. The cubic root of 153043128 is about 534.8983741519.

Adding to 153043128 its reverse (821340351), we get a palindrome (974383479).

The spelling of 153043128 in words is "one hundred fifty-three million, forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 797 889 1016 1143 1512 1524 1594 1778 2286 2391 2667 3048 3188 3429 3556 4572 4782 5334 5579 6376 6858 7112 7173 8001 9144 9564 10668 11158 13716 14346 16002 16737 19128 21336 21519 22316 24003 27432 28692 32004 33474 43038 44632 48006 50211 57384 64008 66948 86076 96012 100422 101219 133896 150633 172152 192024 200844 202438 301266 303657 401688 404876 602532 607314 708533 809752 910971 1205064 1214628 1417066 1821942 2125599 2429256 2732913 2834132 3643884 4251198 5465826 5668264 6376797 7287768 8502396 10931652 12753594 17004792 19130391 21863304 25507188 38260782 51014376 76521564 153043128